The potential RS dependence of amplitudes is intimately connected to the
structure of their UV and IR singularities. Fortunately, in QCD they obey a
factorized form at the amplitude level [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}.
The final result for a physical quantity, for instance a cross section,
is of course finite and must not depend on the RS used.
